Greatest Common Factor of 681/210, 741/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/210, 741/240

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 681/210,741/240

Given fractions are 681/210,741/240

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 681,741

Greatest Common Factor of Numerators i.e. GCF of 681,741 is 3 .

LCM of Denominators means LCM of 210,240 as per the given fractions.

LCM of 210,240 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,741

GCF of Fractions 681/210,741/240 is 3/1680

3 681, 741
227, 247

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 681,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,741 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 681,741 . The biggest common factor number is the GCF number.
So the greatest common factor 681,741 is 3.

Lets's calculate LCM of 210,240

2 210, 240
3 105, 120
5 35, 40
7, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 8 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1680

Therefore, the GCF of Fractions 681/210,741/240 is 3/1680

Least Common Multiple of 210,240 with GCF Formula

Least Common Multiple of 210,240 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 210,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,240) = 30

common factors(in case of two or more numbers have common factors) = 1

GCF(210,240) x common factors =30 x 1 = 30

LCM(210,240) = ( 210 × 240 ) / 30

LCM(210,240) = 50400 / 30

LCM(210,240) = 1680


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 681/210, 741/240

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 681/210, 741/240?

Answer: GCF of Numerators as per given numbers 681/210, 741/240 is

GCF of Numerators i.e. for 681,741 is 3

LCM of denominators i.e. for 210,240 is 1680.

Thus, GCF of Fractions is 3/1680.Finally, GCF of Fractions for 681/210, 741/240 is 3/1680.